On the Functions of the Parabolic Cylinder |
Contents
Introduction | 1 |
Special onevalued solutions | 8 |
Expansion problem for | 14 |
1 other sections not shown
Common terms and phrases
1+A² 2n exp absolute value addition theorem angle Ø apply the residue asymptotic expansion Buchholz c-ico close the path coefficients complex consider the asymptotic converge coordinate system cusp D₁(z D₂n YE Diffraction Problem Doctor of Philosophy E64 STANFORD UNIVERSITY EPSTEIN A dissertation everywhere regular exp 2n+2 expression f₂ factors whose absolute formula functions 3.2 ikę² inside the contour k²u line source Magnus Mathematics submitted Meixner obtain an expansion one-valued and regular one-valued function one-valued regular solutions one-valued solutions Parabolic Cylinder DAVID parabolic cylinder functions path of integration plane waves poles inside radiation condition Re(s log regular and one-valued residue theorem right-hand side rotation Schäfke Science in partial separated simple poles sin(-vn solution of 1.1 STANFORD UNIVERSITY LIBRARIES subset theorem for translation transformation 1.3 variables wave equation Y-ZIK YORK UNIVERSITY zero ξη Уп गडा